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Finding the Fourth Proportional to 10,483.68, 14,466.83 and 5,703.59

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Solution

The fourth proportional to 10,483.68, 14,466.83 and 5,703.59 is: 7,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.68 : 14,466.83 = 5,703.59 : x
  2. Step 2: Convert to fraction form
    10,483.68/14,466.83 = 5,703.59/x
  3. Step 3: Cross multiply
    10,483.68x = 14,466.83 × 5,703.59
  4. Step 4: Simplify right side
    10,483.68x = 82,512,808.84
  5. Step 5: Solve for x
    x = 82,512,808.84/10,483.68
  6. Step 6: Final answer
    x = 7,870.60

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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.