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Finding the Fourth Proportional to 10,510.40, 14,504.04 and 5,730.16

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Solution

The fourth proportional to 10,510.40, 14,504.04 and 5,730.16 is: 7,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.40 : 14,504.04 = 5,730.16 : x
  2. Step 2: Convert to fraction form
    10,510.40/14,504.04 = 5,730.16/x
  3. Step 3: Cross multiply
    10,510.40x = 14,504.04 × 5,730.16
  4. Step 4: Simplify right side
    10,510.40x = 83,110,469.85
  5. Step 5: Solve for x
    x = 83,110,469.85/10,510.40
  6. Step 6: Final answer
    x = 7,907.45

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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.