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Finding the Fourth Proportional to 7,684.15, 10,598.47 and 5,294.92

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Solution

The fourth proportional to 7,684.15, 10,598.47 and 5,294.92 is: 7,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.15 : 10,598.47 = 5,294.92 : x
  2. Step 2: Convert to fraction form
    7,684.15/10,598.47 = 5,294.92/x
  3. Step 3: Cross multiply
    7,684.15x = 10,598.47 × 5,294.92
  4. Step 4: Simplify right side
    7,684.15x = 56,118,050.77
  5. Step 5: Solve for x
    x = 56,118,050.77/7,684.15
  6. Step 6: Final answer
    x = 7,303.09

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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.