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Finding the Fourth Proportional to 15,878.48, 23,810.02 and 4,783.10

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Solution

The fourth proportional to 15,878.48, 23,810.02 and 4,783.10 is: 7,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.48 : 23,810.02 = 4,783.10 : x
  2. Step 2: Convert to fraction form
    15,878.48/23,810.02 = 4,783.10/x
  3. Step 3: Cross multiply
    15,878.48x = 23,810.02 × 4,783.10
  4. Step 4: Simplify right side
    15,878.48x = 113,885,575.65
  5. Step 5: Solve for x
    x = 113,885,575.65/15,878.48
  6. Step 6: Final answer
    x = 7,172.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.