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Finding the Fourth Proportional to 7,016.84, 9,684.30 and 4,365.10

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Solution

The fourth proportional to 7,016.84, 9,684.30 and 4,365.10 is: 6,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.84 : 9,684.30 = 4,365.10 : x
  2. Step 2: Convert to fraction form
    7,016.84/9,684.30 = 4,365.10/x
  3. Step 3: Cross multiply
    7,016.84x = 9,684.30 × 4,365.10
  4. Step 4: Simplify right side
    7,016.84x = 42,272,937.93
  5. Step 5: Solve for x
    x = 42,272,937.93/7,016.84
  6. Step 6: Final answer
    x = 6,024.50

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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.