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Finding the Fourth Proportional to 10,346, 14,277.48 and 5,630.32

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Solution

The fourth proportional to 10,346, 14,277.48 and 5,630.32 is: 7,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346 : 14,277.48 = 5,630.32 : x
  2. Step 2: Convert to fraction form
    10,346/14,277.48 = 5,630.32/x
  3. Step 3: Cross multiply
    10,346x = 14,277.48 × 5,630.32
  4. Step 4: Simplify right side
    10,346x = 80,386,709.81
  5. Step 5: Solve for x
    x = 80,386,709.81/10,346
  6. Step 6: Final answer
    x = 7,769.83

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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.