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Finding the Fourth Proportional to 7,564.16, 10,437.28 and 4,206.88

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Solution

The fourth proportional to 7,564.16, 10,437.28 and 4,206.88 is: 5,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.16 : 10,437.28 = 4,206.88 : x
  2. Step 2: Convert to fraction form
    7,564.16/10,437.28 = 4,206.88/x
  3. Step 3: Cross multiply
    7,564.16x = 10,437.28 × 4,206.88
  4. Step 4: Simplify right side
    7,564.16x = 43,908,384.49
  5. Step 5: Solve for x
    x = 43,908,384.49/7,564.16
  6. Step 6: Final answer
    x = 5,804.79

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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.