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Finding the Fourth Proportional to 10,296.98, 15,445.10 and 4,370.06

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Solution

The fourth proportional to 10,296.98, 15,445.10 and 4,370.06 is: 6,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.98 : 15,445.10 = 4,370.06 : x
  2. Step 2: Convert to fraction form
    10,296.98/15,445.10 = 4,370.06/x
  3. Step 3: Cross multiply
    10,296.98x = 15,445.10 × 4,370.06
  4. Step 4: Simplify right side
    10,296.98x = 67,495,947.41
  5. Step 5: Solve for x
    x = 67,495,947.41/10,296.98
  6. Step 6: Final answer
    x = 6,554.93

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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.