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Finding the Fourth Proportional to 7,646.34, 10,570.32 and 6,859.02

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Solution

The fourth proportional to 7,646.34, 10,570.32 and 6,859.02 is: 9,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.34 : 10,570.32 = 6,859.02 : x
  2. Step 2: Convert to fraction form
    7,646.34/10,570.32 = 6,859.02/x
  3. Step 3: Cross multiply
    7,646.34x = 10,570.32 × 6,859.02
  4. Step 4: Simplify right side
    7,646.34x = 72,502,036.29
  5. Step 5: Solve for x
    x = 72,502,036.29/7,646.34
  6. Step 6: Final answer
    x = 9,481.93

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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.