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Finding the Fourth Proportional to 11,300.47, 15,595.17 and 6,264.80

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Solution

The fourth proportional to 11,300.47, 15,595.17 and 6,264.80 is: 8,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.47 : 15,595.17 = 6,264.80 : x
  2. Step 2: Convert to fraction form
    11,300.47/15,595.17 = 6,264.80/x
  3. Step 3: Cross multiply
    11,300.47x = 15,595.17 × 6,264.80
  4. Step 4: Simplify right side
    11,300.47x = 97,700,621.02
  5. Step 5: Solve for x
    x = 97,700,621.02/11,300.47
  6. Step 6: Final answer
    x = 8,645.71

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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.