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Finding the Fourth Proportional to 7,051.40, 9,726.51 and 4,536.78

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Solution

The fourth proportional to 7,051.40, 9,726.51 and 4,536.78 is: 6,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.40 : 9,726.51 = 4,536.78 : x
  2. Step 2: Convert to fraction form
    7,051.40/9,726.51 = 4,536.78/x
  3. Step 3: Cross multiply
    7,051.40x = 9,726.51 × 4,536.78
  4. Step 4: Simplify right side
    7,051.40x = 44,127,036.04
  5. Step 5: Solve for x
    x = 44,127,036.04/7,051.40
  6. Step 6: Final answer
    x = 6,257.91

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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.