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Finding the Fourth Proportional to 7,848.96, 10,831.04 and 4,312

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Solution

The fourth proportional to 7,848.96, 10,831.04 and 4,312 is: 5,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.96 : 10,831.04 = 4,312 : x
  2. Step 2: Convert to fraction form
    7,848.96/10,831.04 = 4,312/x
  3. Step 3: Cross multiply
    7,848.96x = 10,831.04 × 4,312
  4. Step 4: Simplify right side
    7,848.96x = 46,703,444.48
  5. Step 5: Solve for x
    x = 46,703,444.48/7,848.96
  6. Step 6: Final answer
    x = 5,950.27

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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.