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Finding the Fourth Proportional to 7,437.84, 10,263.06 and 4,293.42

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Solution

The fourth proportional to 7,437.84, 10,263.06 and 4,293.42 is: 5,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.84 : 10,263.06 = 4,293.42 : x
  2. Step 2: Convert to fraction form
    7,437.84/10,263.06 = 4,293.42/x
  3. Step 3: Cross multiply
    7,437.84x = 10,263.06 × 4,293.42
  4. Step 4: Simplify right side
    7,437.84x = 44,063,627.07
  5. Step 5: Solve for x
    x = 44,063,627.07/7,437.84
  6. Step 6: Final answer
    x = 5,924.25

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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.