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Finding the Fourth Proportional to 10,348.68, 15,513 and 4,106.64

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Solution

The fourth proportional to 10,348.68, 15,513 and 4,106.64 is: 6,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.68 : 15,513 = 4,106.64 : x
  2. Step 2: Convert to fraction form
    10,348.68/15,513 = 4,106.64/x
  3. Step 3: Cross multiply
    10,348.68x = 15,513 × 4,106.64
  4. Step 4: Simplify right side
    10,348.68x = 63,706,306.32
  5. Step 5: Solve for x
    x = 63,706,306.32/10,348.68
  6. Step 6: Final answer
    x = 6,155.98

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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.