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Finding the Fourth Proportional to 10,075.70, 15,098.76 and 5,071.20

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Solution

The fourth proportional to 10,075.70, 15,098.76 and 5,071.20 is: 7,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.70 : 15,098.76 = 5,071.20 : x
  2. Step 2: Convert to fraction form
    10,075.70/15,098.76 = 5,071.20/x
  3. Step 3: Cross multiply
    10,075.70x = 15,098.76 × 5,071.20
  4. Step 4: Simplify right side
    10,075.70x = 76,568,831.71
  5. Step 5: Solve for x
    x = 76,568,831.71/10,075.70
  6. Step 6: Final answer
    x = 7,599.36

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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.