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Finding the Fourth Proportional to 10,145.51, 14,018.69 and 7,807.85

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Solution

The fourth proportional to 10,145.51, 14,018.69 and 7,807.85 is: 10,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.51 : 14,018.69 = 7,807.85 : x
  2. Step 2: Convert to fraction form
    10,145.51/14,018.69 = 7,807.85/x
  3. Step 3: Cross multiply
    10,145.51x = 14,018.69 × 7,807.85
  4. Step 4: Simplify right side
    10,145.51x = 109,455,786.79
  5. Step 5: Solve for x
    x = 109,455,786.79/10,145.51
  6. Step 6: Final answer
    x = 10,788.60

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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.