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Finding the Fourth Proportional to 10,702.90, 14,767.86 and 6,225.94

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Solution

The fourth proportional to 10,702.90, 14,767.86 and 6,225.94 is: 8,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.90 : 14,767.86 = 6,225.94 : x
  2. Step 2: Convert to fraction form
    10,702.90/14,767.86 = 6,225.94/x
  3. Step 3: Cross multiply
    10,702.90x = 14,767.86 × 6,225.94
  4. Step 4: Simplify right side
    10,702.90x = 91,943,810.29
  5. Step 5: Solve for x
    x = 91,943,810.29/10,702.90
  6. Step 6: Final answer
    x = 8,590.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.