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Finding the Fourth Proportional to 10,053.02, 15,077.10 and 4,214

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Solution

The fourth proportional to 10,053.02, 15,077.10 and 4,214 is: 6,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.02 : 15,077.10 = 4,214 : x
  2. Step 2: Convert to fraction form
    10,053.02/15,077.10 = 4,214/x
  3. Step 3: Cross multiply
    10,053.02x = 15,077.10 × 4,214
  4. Step 4: Simplify right side
    10,053.02x = 63,534,899.40
  5. Step 5: Solve for x
    x = 63,534,899.40/10,053.02
  6. Step 6: Final answer
    x = 6,319.98

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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.