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Finding the Fourth Proportional to 10,802.71, 14,907.68 and 6,088.51

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Solution

The fourth proportional to 10,802.71, 14,907.68 and 6,088.51 is: 8,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.71 : 14,907.68 = 6,088.51 : x
  2. Step 2: Convert to fraction form
    10,802.71/14,907.68 = 6,088.51/x
  3. Step 3: Cross multiply
    10,802.71x = 14,907.68 × 6,088.51
  4. Step 4: Simplify right side
    10,802.71x = 90,765,528.31
  5. Step 5: Solve for x
    x = 90,765,528.31/10,802.71
  6. Step 6: Final answer
    x = 8,402.11

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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.