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Finding the Fourth Proportional to 7,407.13, 10,224.41 and 4,264.57

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Solution

The fourth proportional to 7,407.13, 10,224.41 and 4,264.57 is: 5,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.13 : 10,224.41 = 4,264.57 : x
  2. Step 2: Convert to fraction form
    7,407.13/10,224.41 = 4,264.57/x
  3. Step 3: Cross multiply
    7,407.13x = 10,224.41 × 4,264.57
  4. Step 4: Simplify right side
    7,407.13x = 43,602,681.26
  5. Step 5: Solve for x
    x = 43,602,681.26/7,407.13
  6. Step 6: Final answer
    x = 5,886.58

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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.