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Finding the Fourth Proportional to 10,586.54, 15,876.58 and 7,320.62

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Solution

The fourth proportional to 10,586.54, 15,876.58 and 7,320.62 is: 10,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.54 : 15,876.58 = 7,320.62 : x
  2. Step 2: Convert to fraction form
    10,586.54/15,876.58 = 7,320.62/x
  3. Step 3: Cross multiply
    10,586.54x = 15,876.58 × 7,320.62
  4. Step 4: Simplify right side
    10,586.54x = 116,226,409.08
  5. Step 5: Solve for x
    x = 116,226,409.08/10,586.54
  6. Step 6: Final answer
    x = 10,978.70

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