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Finding the Fourth Proportional to 10,298.95, 15,434.52 and 7,512.55

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Solution

The fourth proportional to 10,298.95, 15,434.52 and 7,512.55 is: 11,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.95 : 15,434.52 = 7,512.55 : x
  2. Step 2: Convert to fraction form
    10,298.95/15,434.52 = 7,512.55/x
  3. Step 3: Cross multiply
    10,298.95x = 15,434.52 × 7,512.55
  4. Step 4: Simplify right side
    10,298.95x = 115,952,603.23
  5. Step 5: Solve for x
    x = 115,952,603.23/10,298.95
  6. Step 6: Final answer
    x = 11,258.68

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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.