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Finding the Fourth Proportional to 11,106.65, 15,326.52 and 6,070.80

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Solution

The fourth proportional to 11,106.65, 15,326.52 and 6,070.80 is: 8,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.65 : 15,326.52 = 6,070.80 : x
  2. Step 2: Convert to fraction form
    11,106.65/15,326.52 = 6,070.80/x
  3. Step 3: Cross multiply
    11,106.65x = 15,326.52 × 6,070.80
  4. Step 4: Simplify right side
    11,106.65x = 93,044,237.62
  5. Step 5: Solve for x
    x = 93,044,237.62/11,106.65
  6. Step 6: Final answer
    x = 8,377.35

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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.