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Finding the Fourth Proportional to 7,153.56, 9,865.53 and 5,177.16

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Solution

The fourth proportional to 7,153.56, 9,865.53 and 5,177.16 is: 7,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.56 : 9,865.53 = 5,177.16 : x
  2. Step 2: Convert to fraction form
    7,153.56/9,865.53 = 5,177.16/x
  3. Step 3: Cross multiply
    7,153.56x = 9,865.53 × 5,177.16
  4. Step 4: Simplify right side
    7,153.56x = 51,075,427.29
  5. Step 5: Solve for x
    x = 51,075,427.29/7,153.56
  6. Step 6: Final answer
    x = 7,139.86

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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.