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Finding the Fourth Proportional to 7,210.46, 9,950.10 and 4,225.88

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Solution

The fourth proportional to 7,210.46, 9,950.10 and 4,225.88 is: 5,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.46 : 9,950.10 = 4,225.88 : x
  2. Step 2: Convert to fraction form
    7,210.46/9,950.10 = 4,225.88/x
  3. Step 3: Cross multiply
    7,210.46x = 9,950.10 × 4,225.88
  4. Step 4: Simplify right side
    7,210.46x = 42,047,928.59
  5. Step 5: Solve for x
    x = 42,047,928.59/7,210.46
  6. Step 6: Final answer
    x = 5,831.52

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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.