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Finding the Fourth Proportional to 10,495.14, 14,483.43 and 5,779.77

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Solution

The fourth proportional to 10,495.14, 14,483.43 and 5,779.77 is: 7,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.14 : 14,483.43 = 5,779.77 : x
  2. Step 2: Convert to fraction form
    10,495.14/14,483.43 = 5,779.77/x
  3. Step 3: Cross multiply
    10,495.14x = 14,483.43 × 5,779.77
  4. Step 4: Simplify right side
    10,495.14x = 83,710,894.21
  5. Step 5: Solve for x
    x = 83,710,894.21/10,495.14
  6. Step 6: Final answer
    x = 7,976.16

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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.