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Finding the Fourth Proportional to 11,275.77, 15,557.76 and 6,802.14

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Solution

The fourth proportional to 11,275.77, 15,557.76 and 6,802.14 is: 9,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.77 : 15,557.76 = 6,802.14 : x
  2. Step 2: Convert to fraction form
    11,275.77/15,557.76 = 6,802.14/x
  3. Step 3: Cross multiply
    11,275.77x = 15,557.76 × 6,802.14
  4. Step 4: Simplify right side
    11,275.77x = 105,826,061.61
  5. Step 5: Solve for x
    x = 105,826,061.61/11,275.77
  6. Step 6: Final answer
    x = 9,385.26

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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.