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Finding the Fourth Proportional to 10,575.60, 15,854.48 and 6,671.40

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Solution

The fourth proportional to 10,575.60, 15,854.48 and 6,671.40 is: 10,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.60 : 15,854.48 = 6,671.40 : x
  2. Step 2: Convert to fraction form
    10,575.60/15,854.48 = 6,671.40/x
  3. Step 3: Cross multiply
    10,575.60x = 15,854.48 × 6,671.40
  4. Step 4: Simplify right side
    10,575.60x = 105,771,577.87
  5. Step 5: Solve for x
    x = 105,771,577.87/10,575.60
  6. Step 6: Final answer
    x = 10,001.47

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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.