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Finding the Fourth Proportional to 10,444.87, 15,671.40 and 4,597.38

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Solution

The fourth proportional to 10,444.87, 15,671.40 and 4,597.38 is: 6,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.87 : 15,671.40 = 4,597.38 : x
  2. Step 2: Convert to fraction form
    10,444.87/15,671.40 = 4,597.38/x
  3. Step 3: Cross multiply
    10,444.87x = 15,671.40 × 4,597.38
  4. Step 4: Simplify right side
    10,444.87x = 72,047,380.93
  5. Step 5: Solve for x
    x = 72,047,380.93/10,444.87
  6. Step 6: Final answer
    x = 6,897.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.