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Finding the Fourth Proportional to 10,444.65, 15,671.07 and 4,597.16

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Solution

The fourth proportional to 10,444.65, 15,671.07 and 4,597.16 is: 6,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.65 : 15,671.07 = 4,597.16 : x
  2. Step 2: Convert to fraction form
    10,444.65/15,671.07 = 4,597.16/x
  3. Step 3: Cross multiply
    10,444.65x = 15,671.07 × 4,597.16
  4. Step 4: Simplify right side
    10,444.65x = 72,042,337.81
  5. Step 5: Solve for x
    x = 72,042,337.81/10,444.65
  6. Step 6: Final answer
    x = 6,897.54

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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.