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Finding the Fourth Proportional to 7,038.07, 10,564.08 and 6,252.57

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Solution

The fourth proportional to 7,038.07, 10,564.08 and 6,252.57 is: 9,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.07 : 10,564.08 = 6,252.57 : x
  2. Step 2: Convert to fraction form
    7,038.07/10,564.08 = 6,252.57/x
  3. Step 3: Cross multiply
    7,038.07x = 10,564.08 × 6,252.57
  4. Step 4: Simplify right side
    7,038.07x = 66,052,649.69
  5. Step 5: Solve for x
    x = 66,052,649.69/7,038.07
  6. Step 6: Final answer
    x = 9,385.05

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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.