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Finding the Fourth Proportional to 10,302.59, 15,415.59 and 6,144.86

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Solution

The fourth proportional to 10,302.59, 15,415.59 and 6,144.86 is: 9,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.59 : 15,415.59 = 6,144.86 : x
  2. Step 2: Convert to fraction form
    10,302.59/15,415.59 = 6,144.86/x
  3. Step 3: Cross multiply
    10,302.59x = 15,415.59 × 6,144.86
  4. Step 4: Simplify right side
    10,302.59x = 94,726,703.95
  5. Step 5: Solve for x
    x = 94,726,703.95/10,302.59
  6. Step 6: Final answer
    x = 9,194.45

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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.