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Finding the Fourth Proportional to 10,584, 14,599.44 and 7,045.92

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Solution

The fourth proportional to 10,584, 14,599.44 and 7,045.92 is: 9,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 14,599.44 = 7,045.92 : x
  2. Step 2: Convert to fraction form
    10,584/14,599.44 = 7,045.92/x
  3. Step 3: Cross multiply
    10,584x = 14,599.44 × 7,045.92
  4. Step 4: Simplify right side
    10,584x = 102,866,486.28
  5. Step 5: Solve for x
    x = 102,866,486.28/10,584
  6. Step 6: Final answer
    x = 9,719.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.