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Finding the Fourth Proportional to 15,065.61, 22,586.00 and 7,164.99

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Solution

The fourth proportional to 15,065.61, 22,586.00 and 7,164.99 is: 10,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,065.61 : 22,586.00 = 7,164.99 : x
  2. Step 2: Convert to fraction form
    15,065.61/22,586.00 = 7,164.99/x
  3. Step 3: Cross multiply
    15,065.61x = 22,586.00 × 7,164.99
  4. Step 4: Simplify right side
    15,065.61x = 161,828,428.32
  5. Step 5: Solve for x
    x = 161,828,428.32/15,065.61
  6. Step 6: Final answer
    x = 10,741.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.