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Finding the Fourth Proportional to 11,504.16, 15,875.28 and 6,468.48

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Solution

The fourth proportional to 11,504.16, 15,875.28 and 6,468.48 is: 8,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.16 : 15,875.28 = 6,468.48 : x
  2. Step 2: Convert to fraction form
    11,504.16/15,875.28 = 6,468.48/x
  3. Step 3: Cross multiply
    11,504.16x = 15,875.28 × 6,468.48
  4. Step 4: Simplify right side
    11,504.16x = 102,688,931.17
  5. Step 5: Solve for x
    x = 102,688,931.17/11,504.16
  6. Step 6: Final answer
    x = 8,926.24

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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.