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Finding the Fourth Proportional to 10,929.34, 15,088.71 and 7,214.14

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Solution

The fourth proportional to 10,929.34, 15,088.71 and 7,214.14 is: 9,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.34 : 15,088.71 = 7,214.14 : x
  2. Step 2: Convert to fraction form
    10,929.34/15,088.71 = 7,214.14/x
  3. Step 3: Cross multiply
    10,929.34x = 15,088.71 × 7,214.14
  4. Step 4: Simplify right side
    10,929.34x = 108,852,066.36
  5. Step 5: Solve for x
    x = 108,852,066.36/10,929.34
  6. Step 6: Final answer
    x = 9,959.62

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