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Finding the Fourth Proportional to 7,568.42, 10,444.76 and 6,307.36

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Solution

The fourth proportional to 7,568.42, 10,444.76 and 6,307.36 is: 8,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.42 : 10,444.76 = 6,307.36 : x
  2. Step 2: Convert to fraction form
    7,568.42/10,444.76 = 6,307.36/x
  3. Step 3: Cross multiply
    7,568.42x = 10,444.76 × 6,307.36
  4. Step 4: Simplify right side
    7,568.42x = 65,878,886.19
  5. Step 5: Solve for x
    x = 65,878,886.19/7,568.42
  6. Step 6: Final answer
    x = 8,704.45

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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.