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Finding the Fourth Proportional to 7,078.58, 10,588.59 and 6,437.06

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Solution

The fourth proportional to 7,078.58, 10,588.59 and 6,437.06 is: 9,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.58 : 10,588.59 = 6,437.06 : x
  2. Step 2: Convert to fraction form
    7,078.58/10,588.59 = 6,437.06/x
  3. Step 3: Cross multiply
    7,078.58x = 10,588.59 × 6,437.06
  4. Step 4: Simplify right side
    7,078.58x = 68,159,389.15
  5. Step 5: Solve for x
    x = 68,159,389.15/7,078.58
  6. Step 6: Final answer
    x = 9,628.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.