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Finding the Fourth Proportional to 10,046.96, 15,060.52 and 4,207.60

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Solution

The fourth proportional to 10,046.96, 15,060.52 and 4,207.60 is: 6,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.96 : 15,060.52 = 4,207.60 : x
  2. Step 2: Convert to fraction form
    10,046.96/15,060.52 = 4,207.60/x
  3. Step 3: Cross multiply
    10,046.96x = 15,060.52 × 4,207.60
  4. Step 4: Simplify right side
    10,046.96x = 63,368,643.95
  5. Step 5: Solve for x
    x = 63,368,643.95/10,046.96
  6. Step 6: Final answer
    x = 6,307.25

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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.