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Finding the Fourth Proportional to 10,510.13, 14,503.78 and 5,730.12

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Solution

The fourth proportional to 10,510.13, 14,503.78 and 5,730.12 is: 7,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.13 : 14,503.78 = 5,730.12 : x
  2. Step 2: Convert to fraction form
    10,510.13/14,503.78 = 5,730.12/x
  3. Step 3: Cross multiply
    10,510.13x = 14,503.78 × 5,730.12
  4. Step 4: Simplify right side
    10,510.13x = 83,108,399.85
  5. Step 5: Solve for x
    x = 83,108,399.85/10,510.13
  6. Step 6: Final answer
    x = 7,907.46

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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.