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Finding the Fourth Proportional to 10,070.84, 15,106.15 and 6,123.19

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Solution

The fourth proportional to 10,070.84, 15,106.15 and 6,123.19 is: 9,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.84 : 15,106.15 = 6,123.19 : x
  2. Step 2: Convert to fraction form
    10,070.84/15,106.15 = 6,123.19/x
  3. Step 3: Cross multiply
    10,070.84x = 15,106.15 × 6,123.19
  4. Step 4: Simplify right side
    10,070.84x = 92,497,826.62
  5. Step 5: Solve for x
    x = 92,497,826.62/10,070.84
  6. Step 6: Final answer
    x = 9,184.72

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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.