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Finding the Fourth Proportional to 7,211.02, 9,952.80 and 4,688.74

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Solution

The fourth proportional to 7,211.02, 9,952.80 and 4,688.74 is: 6,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.02 : 9,952.80 = 4,688.74 : x
  2. Step 2: Convert to fraction form
    7,211.02/9,952.80 = 4,688.74/x
  3. Step 3: Cross multiply
    7,211.02x = 9,952.80 × 4,688.74
  4. Step 4: Simplify right side
    7,211.02x = 46,666,091.47
  5. Step 5: Solve for x
    x = 46,666,091.47/7,211.02
  6. Step 6: Final answer
    x = 6,471.50

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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.