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Finding the Fourth Proportional to 11,261.76, 15,547.86 and 7,730.16

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Solution

The fourth proportional to 11,261.76, 15,547.86 and 7,730.16 is: 10,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.76 : 15,547.86 = 7,730.16 : x
  2. Step 2: Convert to fraction form
    11,261.76/15,547.86 = 7,730.16/x
  3. Step 3: Cross multiply
    11,261.76x = 15,547.86 × 7,730.16
  4. Step 4: Simplify right side
    11,261.76x = 120,187,445.46
  5. Step 5: Solve for x
    x = 120,187,445.46/11,261.76
  6. Step 6: Final answer
    x = 10,672.17

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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.