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Finding the Fourth Proportional to 10,140, 15,210.02 and 7,384.22

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Solution

The fourth proportional to 10,140, 15,210.02 and 7,384.22 is: 11,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140 : 15,210.02 = 7,384.22 : x
  2. Step 2: Convert to fraction form
    10,140/15,210.02 = 7,384.22/x
  3. Step 3: Cross multiply
    10,140x = 15,210.02 × 7,384.22
  4. Step 4: Simplify right side
    10,140x = 112,314,020.91
  5. Step 5: Solve for x
    x = 112,314,020.91/10,140
  6. Step 6: Final answer
    x = 11,076.33

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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.